Base | Representation |
---|---|
bin | 1011000111010011100000… |
… | …0010011011111101010100 |
3 | 1121021020021022200101201022 |
4 | 2301310320002123331110 |
5 | 3100203302230320040 |
6 | 41553502511020312 |
7 | 2400606006114323 |
oct | 261647002337524 |
9 | 47236238611638 |
10 | 12220122120020 |
11 | 39915853a4661 |
12 | 145441220a698 |
13 | 6a84777a3549 |
14 | 3036582940ba |
15 | 162d17bd46b5 |
hex | b1d3809bf54 |
12220122120020 has 48 divisors (see below), whose sum is σ = 26982361299600. Its totient is φ = 4642126648320.
The previous prime is 12220122119987. The next prime is 12220122120029. The reversal of 12220122120020 is 2002122102221.
It is a happy number.
12220122120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 3933542355856 + 8286579764164 = 1983316^2 + 2878642^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12220122120029) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172662785 + ... + 172733544.
It is an arithmetic number, because the mean of its divisors is an integer number (562132527075).
Almost surely, 212220122120020 is an apocalyptic number.
12220122120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12220122120020 is an abundant number, since it is smaller than the sum of its proper divisors (14762239179580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12220122120020 is a wasteful number, since it uses less digits than its factorization.
12220122120020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 345396428 (or 345396426 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
Adding to 12220122120020 its reverse (2002122102221), we get a palindrome (14222244222241).
The spelling of 12220122120020 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twenty thousand, twenty".
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